Is the Lighting Control Module bad? Is the Multi-Function switch bad? Your asking questions that can't be answered without doing electrical circuit testing . You could replace those parts an get lucky an fix it , but suppose you replace them an it doesn't fix the problem ?
Do you know what a wiring diagram is ? what it's for ? Do you have a DVOM - digital volt ohm meter an know how to use it ?
Pinpoint Tests
PINPOINT TEST H: PINPOINT TEST H: THE TURN SIGNAL LAMPS ARE NEVER ON - THE HAZARD FLASHER LAMPS ARE NEVER ON
CONDITIONS
DETAILS/RESULTS/ACTIONS
H1 DIAGNOSTIC TROUBLE CODES (DTCS) FROM LCM
Use the recorded results from the LCM self-test.
Yes If DTC B1873 is retrieved, GO to H2 .
If DTC B1342 is retrieved, CLEAR DTC and PERFORM LCM on-demand self-test. REPLACE the LCM if DTC B1342 is retrieved again. REFER to Section 419-10 . TEST the system for normal operation.
No GO to H2 .
Your best bet , take it to a qualified repair shop .